Iggy Azalea: My Next Guy Better Not Have ...

Iggy Azalea now thinks Nick Young can share the blame for their breakup ... with a particular type of person.

We got Iggy at LAX after her flight from Australia -- hours after her epic one finger salute -- and when she was asked what's next, she had a very interesting response.

Now we know what she's looking for in a man. It's also clear she's pissed about Nick's situation -- being a father -- and thinks that's ultimately what opened the door for that other situation. Y'know ... Keonna.